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Finding the Fourth Proportional to 3,043.75, 4,200.38 and 1,646.50

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Solution

The fourth proportional to 3,043.75, 4,200.38 and 1,646.50 is: 2,272.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,043.75 : 4,200.38 = 1,646.50 : x
  2. Step 2: Convert to fraction form
    3,043.75/4,200.38 = 1,646.50/x
  3. Step 3: Cross multiply
    3,043.75x = 4,200.38 × 1,646.50
  4. Step 4: Simplify right side
    3,043.75x = 6,915,925.67
  5. Step 5: Solve for x
    x = 6,915,925.67/3,043.75
  6. Step 6: Final answer
    x = 2,272.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.